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Finding the Fourth Proportional to 162.44, 223.78 and 136.16

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Solution

The fourth proportional to 162.44, 223.78 and 136.16 is: 187.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.44 : 223.78 = 136.16 : x
  2. Step 2: Convert to fraction form
    162.44/223.78 = 136.16/x
  3. Step 3: Cross multiply
    162.44x = 223.78 × 136.16
  4. Step 4: Simplify right side
    162.44x = 30,469.88
  5. Step 5: Solve for x
    x = 30,469.88/162.44
  6. Step 6: Final answer
    x = 187.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.